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Finding the Fourth Proportional to 345.83, 477.18 and 196.40

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Solution

The fourth proportional to 345.83, 477.18 and 196.40 is: 270.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.83 : 477.18 = 196.40 : x
  2. Step 2: Convert to fraction form
    345.83/477.18 = 196.40/x
  3. Step 3: Cross multiply
    345.83x = 477.18 × 196.40
  4. Step 4: Simplify right side
    345.83x = 93,718.15
  5. Step 5: Solve for x
    x = 93,718.15/345.83
  6. Step 6: Final answer
    x = 270.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.